Geodesic
An axiomatization of the Myerson value
Contributions to game theory and management, Tome 7 (2014), pp. 341-348

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TU-games with communication structure are cooperative games with transferable utility where the cooperation between players is limited by a communication structure represented by a graph on the set of players. On this class of games, the Myerson value is one of the most well-known solutions and it is the Shapley value of the so-called restricted game. In this study we give another form of fairness axiom on the class of TU-games with communication structure so that the Myerson value is uniquely characterized by this fainess axiom with (component) efficiency, a kind of null player property and additivity. The combination is similar to the original characterization of the Shapley value.
Keywords: Cooperative TU-games, communication structure, Myerson value, Shapley value. 
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     author = {\"Ozer Sel\c{c}uk and Takamasa Suzuki},
     title = {An axiomatization of the {Myerson} value},
     journal = {Contributions to game theory and management},
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     volume = {7},
     year = {2014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CGTM_2014_7_a30/}
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Özer Selçuk; Takamasa Suzuki. An axiomatization of the Myerson value. Contributions to game theory and management, Tome 7 (2014), pp. 341-348. http://geodesic.mathdoc.fr/item/CGTM_2014_7_a30/